On the Projective Character Tables of the Maximal Subgroups of M11, M12 and Aut(M12)

In this paper, the Schur multiplier and irreducible projective character tables IrrProj(G, cci) with corresponding factor sets alpha(i) for each maximal subgroup G of the sporadic simple Mathieu groups M-11, M-12 and the automorphism group Aut(M-12) of M-12 are computed. These tables IrrProj(G, alpha(i)) are obtained from a so-called representation group R of G with the aid of a code which is written in the computational algebra system GAP. In fact, this GAP code can be used to compute the projective character tables for any finite group G on condition that we can find a representation group R of G and its ordinary irreducible characters Irr(R).